Understanding Traffic Flow: Equations and Capacity Analysis
School
The American School of Dubai**We aren't endorsed by this school
Course
SOC 315
Subject
Mathematics
Date
Dec 11, 2024
Pages
1
Uploaded by GrandPenguin4796
1. A city planner models traffic flow using the equation \( T = 3x + 5 \), where \( T \) represents the total number of vehicles and \( x \) represents the time in hours. If the planner wants to know the traffic flow after 4 hours, what is the total number of vehicles? A) 17 B) 20 C) 23 D) 29 2. The speed of a vehicle is represented by the equation \( S = 60 - 2t \), where \( S \) is the speed in miles per hour and \( t \) is the time in minutes since the vehicle started moving. What is the speed of the vehicle after 10 minutes? A) 40 mph B) 50 mph C) 60 mph D) 70 mph 3. A traffic intersection has a maximum capacity of 200 vehicles per hour. If the number of vehicles \( N \) entering the intersection can be modeled by the equation \( N = 50 + 3t \), where \( t \) is the time in hours, at what time will the intersection reach its maximum capacity?
